Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bk |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
67060768320 = 26 · 311 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1283,12867] |
[a1,a2,a3,a4,a6] |
Generators |
[5:78:1] |
Generators of the group modulo torsion |
j |
320153881321/91990080 |
j-invariant |
L |
6.0665115660786 |
L(r)(E,1)/r! |
Ω |
1.0231660465674 |
Real period |
R |
0.49409637096791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cs1 2730j1 40950t1 57330ex1 |
Quadratic twists by: -4 -3 5 -7 |